薄吸积盘与f(R,T)修正引力中的光学特征
Thin Accretion Disk and Optical Signatures in f(R,T) Modified Gravity
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中文总结 AI 辅助
本研究在f(R,T)修正引力框架下，通过微扰方法研究薄吸积盘，发现几何-物质耦合参数显著改变最内稳定圆轨道位置、能量耗散率、温度分布及光谱能量分布，为检验修正引力理论提供理论特征。
中文摘要 AI 辅助
围绕致密天体物理对象的吸积盘是强场区域检验引力理论的强大实验室。在本工作中，我们采用线性函数形式$f(R,T) = R + 2\chi T$，并与无压尘埃流体物质拉格朗日量（$\mathcal{L}_m = -\rho$）耦合，在$f(R,T)$引力框架下系统研究了稳态薄吸积盘的结构、动力学和热力学性质。我们证明了在纯真空极限（$T_{\mu\nu} = 0$）下，修正场方程无缝地简化为标准广义相对论。利用小耦合参数（$\vert{}\chi{}\vert{} \ll 1$）的微扰方法，我们推导了背景史瓦西度规势的一阶修正，这些修正随后控制了修正的粒子运动学、比能量$E$、比角动量$L$和开普勒角速度$\Omega$。我们的分析揭示，几何-物质耦合参数$\chi$显著改变了最内稳定圆轨道（$r_{isco}$）的位置，并改变了Shakura-Sunyaev薄盘上的径向能量耗散率$F(r)$和有效表面温度分布$T(r)$。此外，由此产生的光谱能量分布（SED）和整体辐射效率$\eta$的修正提供了稳健的理论特征。
英文摘要
Accretion disk surrounding around compact astrophysical objects serve as a powerful laboratories for testing gravitational theories in the strong-field regimes. In this work, we systematically investigated the structural, dynamical, and thermodynamic properties of the steady-state thin accretion disk within the framework of $f(R,T)$ gravity by adopting the linear functional form $f(R,T) = R + 2χT$ coupled with the pressure-free dust fluid matter Lagrangian ($\mathcal{L}_m = -ρ$). We demonstrate that the modified field equations seamlessly reduce to standard General Relativity in the pure vacuum limit ($T_{μν} = 0$). Utilizing a perturbative approach for a small coupling parameter ($\vert{}χ\vert{} \ll 1$), we derive the first-order corrections to the background Schwarzschild metric potentials, which subsequently govern the modified particle kinematics, the specific energy $E$, the specific angular momentum $L$, and the Keplerian angular velocity $Ω$. Our analysis reveals that the geometry-matter coupling parameter $χ$ significantly shifted towards the location of the Innermost Stable Circular Orbit ($r_{isco}$) and alters the radial energy dissipation rate $F(r)$ and the effective surface temperature profile $T(r)$ across the Shakura-Sunyaev thin disk. Furthermore, the resulting modifications in the Spectral Energy Distribution (SED) and overall radiative efficiency $η$ provide robust theoretical signature.
发表机构
- S.P.M. Science and Gilani Arts, Commerce College（S.P.M. 科学与吉拉尼艺术商业学院）
- Pacif Institute of Cosmology and Selfology (PICS)（太平洋宇宙学与自我学研究所 (PICS)）
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